import numpy as np
coefficients = np.matrix([0.00957324711798050, -0.00204106308185305, -0.0217944712296340, -0.0386045234368094, -0.0240699173047884, 0.0411301337058247, 0.144943252298100, 0.242605833505432, 0.282695778236683, 0.242605833505432, 0.144943252298100, 0.0411301337058247, -0.0240699173047884, -0.0386045234368094, -0.0217944712296340, -0.00204106308185305, 0.00957324711798050]).reshape((17,1))

num = np.matrix([5.9476, 29.7379, 59.4758, 59.4758, 29.7379, 5.9476]).reshape((6,1))/1000.0
den = np.matrix([100.0000, -208.6232, 217.3800, -121.8451, 36.7561, -4.6356]).reshape((6,1))/100.0

